We look at the division of 18959 by 3 
Let's see how many times 3 fits into 18959.

Let's proceed to step 1:
1 divided by 3 is 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Append the next digit (8) from the dividend to 1 and continue with: 18 / 3

Moving on to step 2:
When dividing 18 by 3, we get 6 with a remainder of 0.
Write down 6 as next digit of the result. 
Result so far: 6.0
Deduct 18 from 18 and we're left with 0.
Grab the next digit (9) from the dividend, add it to 0, then carry on: 9 / 3

Let's proceed to step 3:
When dividing 9 by 3, we get 3 with a remainder of 0.
The next digit of our result is 3. 
Result so far: 63.0
Deduct 9 from 9 and we're left with 0.
Fetch the next digit (5) from the dividend, attach it to 0 and continue: 5 / 3

Moving on to step 4:
When dividing 5 by 3, we get 1 with a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 631.0
If we take 3 away from 5, we end up with 2.
Grab the next digit (9) from the dividend, add it to 2, then carry on: 29 / 3

Let's proceed to step 5:
When dividing 29 by 3, we get 9 with a remainder of 2.
The number 9 becomes the next digit in our result. 
Result so far: 6319.0
Deduct 27 from 29 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 6:
The number 3 fits into 20 6 times, leaving a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 6319.6
Subtracting 18 from 20 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 7:
The number 3 fits into 20 6 times, leaving a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 6319.66
If we subtract 18 from 20, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The final outcome is 6319.66, with a leftover of 0.002.